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Finding the Third Proportional to 28,292 and 39,600

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Solution

The third proportional to 28,292 and 39,600 is: 55,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292 : 39,600 = 39,600 : x
  2. Step 2: Convert to fraction form
    28,292/39,600 = 39,600/x
  3. Step 3: Cross multiply
    28,292x = 39,600 × 39,600
  4. Step 4: Simplify right side
    28,292x = 1,568,160,000
  5. Step 5: Solve for x
    x = 1,568,160,000/28,292
  6. Step 6: Final answer
    x = 55,427.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.